63465656436 has 384 divisors, whose sum is σ = 216604523520. Its totient is φ = 15593472000.

The previous prime is 63465656411. The next prime is 63465656437.

It is a happy number.

63465656436 is a `hidden beast` number, since 6 + 3 + 46 + 5 + 6 + 564 + 36 = 666.

63465656436 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63465656437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16872796 + ... + 16876556.

It is an arithmetic number, because the mean of its divisors is an integer number (564074280).

Almost surely, 2^63465656436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63465656436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108302261760).

63465656436 is an abundant number, since it is smaller than the sum of its proper divisors (153138867084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63465656436 is a wasteful number, since it uses less digits than its factorization.

63465656436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3904 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 63465656436 in words is "sixty-three billion, four hundred sixty-five million, six hundred fifty-six thousand, four hundred thirty-six".